Question
Download Solution PDFजर \(tan^2\theta + tan^4\theta = 1\) , तर:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
tan2 θ + tan4 θ = 1
वापरलेली संकल्पना:
tan2 θ + 1 = sec2 θ
गणना:
⇒ tan2 θ + tan4 θ = 1
⇒ tan2 θ (1 + tan2 θ) = 1
⇒ tan2 θ × sec2 θ = 1
⇒ tan2 θ = 1/sec2 θ = cos2 θ
आता समीकरणात tan 2 θ चे मूल्य ठेवा:
⇒ tan2 θ + tan4 θ = 1
⇒ tan2 θ + (tan2)2 θ = 1
⇒ cos2 θ + (cos2)2 θ = 1
⇒ cos2 θ + cos4 θ = 1
∴ योग्य पर्याय 2 आहे.
Last updated on Jul 21, 2025
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